Description
Book SynopsisContains the proceedings of the international conference “Ordered Algebraic Structures and Related Topics”, held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.
Table of Contents
- F. Acquistapace, F. Broglia, and J. F. Fernando, Some results on global real analytic geometry
- M. Aschenbrenner, L. van den Dries, and J. van der Hoeven, Dimension in the realm of transseries
- V. Astier and T. Unger, Stability index of algebras with involution
- S. Basu and C. Riener, Efficient algorithms for computing the Euler-Poincare characteristic of symmetric semi-algebraic sets
- L. Chua, D. Plaumann, R. Sinn, and C. Vinzant, Gram spectrahedra
- M. Dickmann, F. Miraglia, and A. Petrovich, Constructions in the category of real semigroups
- A. Fehm and F. Jahnke, Recent progress on definability of Henselian valuations
- J. F. Fernando, M. Gamboa, and C. Ueno, Polynomial, regular and Nash images of Euclidean spaces
- P. Gladki, Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields
- M. Infusino and S. Kuhlmann, Infinite dimensional moment problem: Open questions and applications
- T.-L. Kriel, A new proof for the existence of degree bounds for Putinar's Positivstellensatz
- F.-V. Kuhlmann, K. Kuhlmann, and F. Sonaallah, Coincidence point theorems for ball spaces and their applications
- F.-V. Kuhlmann and S. Kuhlmann, Valuation theory of exponential Hardy fields II: Principal parts of germs in the Hardy field of o-minimal exponential expansions of the reals
- H. Lombardi and A. Mahboubi, Theories geometriques pour l'algebre des nombres reels
- V. Mantova and M. Matusinski, Surreal numbers with derivation, Hardy fields and transseries: A survey
- C. Scheiderer and S. Wenzel, Polynomials nonnegative on the cylinder
- N. Schwartz, Positive semifields and their ideals
- M. Tressl, On the strength of some topological lattices
- D. Trotman and G. Valette, On the local geometry of definably stratified sets.
